a square and a triangle have equal perimeters. the square has a perimeter of 4(2p-4), and the triangle has a perimeter of 4p+36. find the perimeter value.
A. p= 72
B. p= 44
C. p= 88
D. p= 36
Answers
Answer:
C
Step-by-step explanation:
Since the figures have equal perimeters we can equate them, thus
4(2p - 4) = 4p + 36 ← distribute left side
8p - 16 = 4p + 36 ( subtract 4p from both sides )
4p - 16 = 36 ( add 16 to both sides )
4p = 52 ( divide both sides by 4 )
p = 13
Substitute p = 13 into either of the 2 expressions, then
4p + 36 = 4(13) + 36 = 52 + 38 = 88 → C
The value of perimeter is found as 88 units. The correct option is (C).
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
As per the question the perimeters are equal.
The following equation can be written as,
4(2p - 4) = 4p + 36
⇒ 8p - 16 = 4p + 36
⇒ 4p = 52
⇒ p = 13
Thus, the perimeter value can be obtained by substituting p = 13 in 4p + 36 as below,
⇒ 4 × 13 + 36 = 88
Hence, the perimeter value is 88 units.
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Answer:
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Answer:
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What fraction of is?
Draw a tape diagram to represent the question. Use graph paper if needed.
Draw your tape diagram on the paper, take a picture, and upload it using the image upload icon
If you do not have the ability to upload an image of your work type "Tape diagram is on paper."
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Answer:
i do not know
Step-by-step explanation:
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Which scale factor was used for the dilation?
A. 1/2
B. 3
C. 1/3
D. 2
Answers
Answer: 2
Step-by-step explanation: the figure has increased by 2 by x and y
Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
An example of dilation math is a square of side 5 units can be dilated to a square of side 15 units, but the shape of the square remains the same.
Dimensions of Object Q are as follows:
(3 1/3,1)
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(1,1)
(1,2)
Dimensions of Object Q’ are as follows:
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(6 2/3,4)
(2,2)
(2,4)
Dimensions of Object Q to Object Q’ are as follows:
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(3 1/3,2) ⇒ (6 2/3,4)
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(1,2) ⇒ (2,4)
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So, the correct option is Option (D) 2
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D -6, -4, -5, 10
Answers
Answer:
c is the answer
Step-by-step explanation:
if you need me to help you let me 3
on a number line the numbers would go like:
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and so on. C is the only answer with the numbers in order